Question: Show, from equations (14.4.43) through (14.4.46), that for (d lesssim 4) [ eta simeq frac{1}{2 n} varepsilon^{2}, quad gamma simeq 1+frac{1}{2}left(1-frac{6}{n} ight) varepsilon, quad alpha

Show, from equations (14.4.43) through (14.4.46), that for \(d \lesssim 4\)

\[
\eta \simeq \frac{1}{2 n} \varepsilon^{2}, \quad \gamma \simeq 1+\frac{1}{2}\left(1-\frac{6}{n}\right) \varepsilon, \quad \alpha \simeq-\frac{1}{2}\left(1-\frac{12}{n}\right) \varepsilon
\]

where \(\varepsilon=(4-d) \ll 1\). Check that these results agree with the ones following from equations (14.4.38) through (14.4.40) for \(n \gg 1\).

Step by Step Solution

3.30 Rating (144 Votes )

There are 3 Steps involved in it

1 Expert Approved Answer
Step: 1 Unlock

For ... View full answer

blur-text-image
Question Has Been Solved by an Expert!

Get step-by-step solutions from verified subject matter experts

Step: 2 Unlock
Step: 3 Unlock

Students Have Also Explored These Related Mechanics Questions!